RAY PATHS THROUGH A GRIN LENS: THE CRYSTALLINE CASE

被引：0

作者：

Cruz-Rodriguez, R. C. ^{[1
]}

Batista-Planas, A. L. ^{[1
]}

Nunez-Chongo, O. ^{[1
]}

Munoz-Villaescusa, C. ^{[1
]}

Batista-Leyva, A. J. ^{[1
,2
]}

机构：

[1] Inst Super Tecnol & Ciencias Aplicadas, Av Salvador Allende Esq Luaces, Havana 10400, Cuba

[2] Univ Havana, Fac Phys, Grp Complex Syst & Stat Phys, Havana 10400, Cuba

来源：

REVISTA CUBANA DE FISICA | 2015年 / 32卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Rays paths follow a complex trajectory through the human crystalline. This is due to the changes in refractive index with position: crystalline is a GRIN lens. To calculate these trajectories approximate methods are often employed. In this contribution our aim is to compare two numerical methods: the first one based in solving the vector differential equation of the ray paths, while the second one is based on Fermat's principle. For each method different numeric schema are applied, and the results compared based on precision and computing easiness. We found that the most efficient procedure is a Runge-Kuta algorithm with adaptive step for integrating the differential equation derived from Fermat's principle. This procedure will be applied in a ray tracing computer program and also in an optimization algorithm to determine the refraction index distribution inside crystalline.

引用

页码：96 / 100

页数：5

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